dorsal/arxiv
View SchemaThe Nucleon-Nucleon Potential in the Chromo-Dielectric Soliton Model: Statics
| Authors | W. Koepf, L. Wilets, S. Pepin, Fl. Stancu |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9402008 |
| URL | https://arxiv.org/abs/nucl-th/9402008 |
| DOI | 10.1103/PhysRevC.50.614 |
| Journal | Phys.Rev.C50:614-626,1994 |
Abstract
We study the N-N interaction in the framework of the chromo-dielectric soliton model. Here, the long-range parts of the nonabelian gluon self-interactions are assumed to give rise to a color-dielectric function which is parameterized in terms of an effective scalar background field. The six-quark system is confined in a deformed mean field through an effective non-linear interaction between the quarks and the scalar field. The CDM is covariant, respects chiral invariance, leads to absolute color confinement and is free of the spurious long range Van der Waals forces which trouble non-relativistic investigations employing a confining potential. Six-quark molecular-type configurations are generated as a function of deformation and their energies are evaluated in a coupled channel analysis. By using molecular states instead of cluster model wave functions, all important six-quark configurations are properly taken into account. The corresponding Hamiltonian includes the effective interaction between the quarks and the scalar background field and quark-quark interactions generated through one gluon exchange treated in Coulomb gauge. When evaluating the gluonic propagators, the inhomogeneity and deformation of the dielectric medium are taken into account. Results for the adiabatic nucleon-nucleon potential are presented, and the various contributions are discussed. Finally, an outlook is given on how, in the next stage of our investigation, the dynamical effects will be incorporated by employing the generator coordinate method.
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"abstract": "We study the N-N interaction in the framework of the chromo-dielectric\nsoliton model. Here, the long-range parts of the nonabelian gluon\nself-interactions are assumed to give rise to a color-dielectric function which\nis parameterized in terms of an effective scalar background field. The\nsix-quark system is confined in a deformed mean field through an effective\nnon-linear interaction between the quarks and the scalar field. The CDM is\ncovariant, respects chiral invariance, leads to absolute color confinement and\nis free of the spurious long range Van der Waals forces which trouble\nnon-relativistic investigations employing a confining potential. Six-quark\nmolecular-type configurations are generated as a function of deformation and\ntheir energies are evaluated in a coupled channel analysis. By using molecular\nstates instead of cluster model wave functions, all important six-quark\nconfigurations are properly taken into account. The corresponding Hamiltonian\nincludes the effective interaction between the quarks and the scalar background\nfield and quark-quark interactions generated through one gluon exchange treated\nin Coulomb gauge. When evaluating the gluonic propagators, the inhomogeneity\nand deformation of the dielectric medium are taken into account. Results for\nthe adiabatic nucleon-nucleon potential are presented, and the various\ncontributions are discussed. Finally, an outlook is given on how, in the next\nstage of our investigation, the dynamical effects will be incorporated by\nemploying the generator coordinate method.",
"arxiv_id": "nucl-th/9402008",
"authors": [
"W. Koepf",
"L. Wilets",
"S. Pepin",
"Fl. Stancu"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.50.614",
"journal_ref": "Phys.Rev.C50:614-626,1994",
"title": "The Nucleon-Nucleon Potential in the Chromo-Dielectric Soliton Model: Statics",
"url": "https://arxiv.org/abs/nucl-th/9402008"
},
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